Abstract
In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 714-718 |
| Number of pages | 5 |
| ISBN (Print) | 9784885522925 |
| Publication status | Published - Dec 8 2014 |
| Event | 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 - Melbourne, Australia Duration: Oct 26 2014 → Oct 29 2014 |
Other
| Other | 2014 International Symposium on Information Theory and Its Applications, ISITA 2014 |
|---|---|
| Country | Australia |
| City | Melbourne |
| Period | 10/26/14 → 10/29/14 |
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ASJC Scopus subject areas
- Computer Science Applications
- Information Systems
Cite this
A study of an automorphism on the logistic maps over prime fields. / Miyazaki, Takeru; Araki, Shunsuke; Uehara, Satoshi; Nogami, Yasuyuki.
Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 714-718 6979937.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - A study of an automorphism on the logistic maps over prime fields
AU - Miyazaki, Takeru
AU - Araki, Shunsuke
AU - Uehara, Satoshi
AU - Nogami, Yasuyuki
PY - 2014/12/8
Y1 - 2014/12/8
N2 - In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.
AB - In this paper, we propose a logistic map over prime fields, which is one way to implement the logistic map over real domain into a computer. We describe a definition and some properties for the logistic map over prime fields, and prove an automorphism between two maps with different control values. We also discuss both advantages and disadvantages of the existence for the automorphism, and an aptitude for the map used by the pseudorandom number generators.
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UR - http://www.scopus.com/inward/citedby.url?scp=84920548990&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84920548990
SN - 9784885522925
SP - 714
EP - 718
BT - Proceedings of 2014 International Symposium on Information Theory and Its Applications, ISITA 2014
PB - Institute of Electrical and Electronics Engineers Inc.
ER -